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		Dongfang HAN;Yinhe WANG;Siying ZHANG.[en_title][J].Control Theory and Technology,2007,5(2):145~151.[Copy]

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DongfangHAN;YinheWANG;SiyingZHANG
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Received:May 24, 2006Revised:October 10, 2006

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Control synthesis for a class of nonlinear systems based onpartition of unity

Dongfang HAN;Yinhe WANG;Siying ZHANG

(Science College, Shantou University, Shantou Guangdong 515063, China;College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110006, China)

Abstract:

A partition-of-unity-based approach is proposed to derive an approximate model for a class of nonlinear systems. The precision of the approximate model is analyzed by using the modulus of continuity of continuous functions. The system stability of the approximate model is analyzed by using Lyapunov stability theory. A design algorithm for constructing tracking controllers with tracking performance related to tracking error is given based on the approximate model and the partition of unity method.

Key words: Partition of unity Approximate model Modulus of continuity H-infinity tracking controller